Q: What are the prime factors of the number 23,143,302?

 A: 2, 3, 7, 13, 71, 199

Why are those the prime factors of the number 23,143,302?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 23,143,302

23,143,302
Factor Arrows
211,571,651
Factor Arrows
33,857,217
Factor Arrows
31,285,739
Factor Arrows
7183,677
Factor Arrows
1314,129
Factor Arrows
71199

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 7, 13, 71, 199

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 7 x 13 x 71 x 199 = 23,143,302

This can also be written as 21 x 32 x 71 x 131 x 711 x 1991 = 23,143,302

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 23,143,302:


Ask a Question